PreCalculus

Welcome! Lesson details for each day are described below.  I will do my best to not only stay updated, but also provide extra links and resources for you to use and explore.

 My Channel for Precalculus

Second Semester Schedule:  PCSecondSemesterSchedule

 

Coronavirus Update:

I’ve heard more students are familiar with google classroom, so I’m going to work on posting material there instead of using Canvas.  Log into your google classroom account to see any updates as well as here. Coronavirus Update Video

Chapter 7:  Applications of Trigonometry

I’m going to stop updating each day here and instead just put things on google classroom 🙂

 

Day ??  April 2nd.  Objective:  Students will complete a group test and submit on google classroom.

Day 63:  March 30th.  Objective:  Students will complete a review of the chapter.  Homework:  1) Log into google classroom and read the long post I made 2) Answer the question(s) I provided and respond to at least 2 other classmates 3) Complete the review.

Day 62:  March 19th.  Objective:  Students will solve application problems using the law of sines and the law of cosines.  Warm-Up:  PC7-4WarmUp Warm-Up Video:  Understanding direction  Homework:  PC7-4Practice

Day 61:  March 18th.  Objective:  Students will practice using the law of cosines and the law of sines.  Homework:  G 7-5 Law of Cosines and Sines .  Submit on google classroom for now.  Coronavirus Update Video

Day 60: March 16th. Objective:  Students will sign into their google classroom account and familiarize themselves with the digital content present there.  New Video:  Law of Sines

Day 59:  March 12th/13th.  Objective:  Students will apply the law of sines and examine the ambiguous case in the SSA triangles  Class Notes:  PC7-2GroupNotes  Homework:  p.  551 #’s 9, 11, 13, 15, and 37.

Day 58:  March 10th/11th.  Objective:  Students will apply the appropriate tool to find missing side lengths and angles in right triangles in real scenario problems. Class Notes:  PC7-1GroupNotes Homework:  None.

Chapter 6:  Analytic Trigonometry

Individual Test:  3/3 – A-days   3/5 – B-days

Day 57:  March 6th/9th.  Objective:  Students will complete an individual test.  Homework:  prepare for your 15 minutes of test corrections next class.  If you were absent and didn’t already make a plan for making the test up, you will need to still be ready to take the test ASAP.

Day 56:  March 3rd/4th/5th.  Objective:  Students will complete a group test.  Group Test:  PC6-GroupTest

Day 55:  February 28th/March 2nd.  Objective:  Students will review for a chapter test. Review Key: PC6-ReviewKEY Homework/Review: PC6-Review

Day 54:  February 26th/27th.  Objective:  Students will apply half-angle formulas to find exact values of trigonometric functions. This YouTube video will help you with half-angle formula problems: Half-Angle Formula Notes  Homework:  PC6-6BPractice

Day 53:  February 24th/25th.  Objective:  Students will apply double angle formulas to find exact values of trigonometric functions. Trig Cheat Sheet: PC6-TrigCheatSheet  Homework:  PC6-6Practice extra suggested practice: PC6-4MorePractice

Day 52:  February 20th/21st.  Objective:  Students will use sum and difference formulas to determine the exact value of a trigonometric expression. Check out the slides that include reference triangles for help with homework:  PC6-5Lecture YouTube Video: Sum and Difference Formulas Homework:  Complete the PC6-5Practice BACK  It’s the PC6-5B part on the back with the reference triangles.

Day 51:  February 18th/19th.  Objective:  Students will use sum and difference formulas to determine the exact value of a trigonometric expression. Students will establish trigonometric identities.  Lecture 1 Slides: PC6-4IdentitiesLecture  Lecture 2 Slides:  PC6-5Lecture Class Practice: PC6-5Practice YouTube Video: Sum and Difference Formulas Homework:  Complete the PC6-5Practice front side only.  If you get stuck, watch the sum and difference formula youtube video I linked above.

Day 50:  February 13th/14th.  Objective:  Students will establish trigonometric identities. YouTube Video #1:  Simplifying Trig Expressions YouTube Video #2:  Trigonometry Proof Notes: PC6-4NotesCompletedExamples Homework:  p. 496 #’s 9, 10, 11, 19, 25, 27, 29, 43, 44, 47.

Day 49:  February 11th/12th.  Objective:  Students will solve trigonometric equations using identities. Notes:  PC6-3Notes YouTube Video: Solving Trig Equations Homework: PC6-3PracticePart2

Day 48:  February 7th/10th.  Objective:  Students will solve trigonometric equations. Notes:  PC6-3Notes YouTube Video: Solving Trig Equations Homework:  PC6-3Practice

Day 47:  February 5th/6th.  Objective:  Students will solve trigonometric equations.  Notes:  PC6-3Notes YouTube Video: Solving Trig Equations Homework:  p. 480 #’s 9, 10, 13, 14, 25, 26 and 27.  ALSO p. 487 #’s 11, 12, 13, 26, 29, 57, 59, and 61.

Day 46: February 3rd/4th.  Objective:  Students will find exact values of inverse trigonometric functions. Notes:  PC6-1Notes Homework:  The front side of PC6-1Practice.

Chapter 5:  Trigonometric Functions

Individual Test:  1/30 – A-days   1/31 – B-days

Course Feedback for Semester 1:  Course Evaluation Semester 1

Day 45:  January 30th/31st.  Students will take an individual test.  Homework:  none.

Day 44:  January 28th/29th.   Students will take a group test.  Homework:  Study for the individual test.

Day 43:  January 22nd/23rd/24th.  Objective:  Students will write the equation of the sine or cosine function given a graph or description of the function.Class Notes KEY:  PC5-5NotesKEY Extra Review:  PC-ExtraGraphtoEquationReview Extra Review KEY: PC-ExtraGraphtoEquationReviewKEY Homework:  Chapter review:  PC5-ReviewKey:  PC5-ReviewKEY

Day 42:  January 21st.  Objective:  Students will peer-grade their daily quiz and provide course feedback.  Homework:  None.  Good luck on your finals!

Day 41:  January 16th/17th.  Objective:  Students will graph one cycle of sine and cosine functions. YouTube Videos:  Graphing Basics  and Graphing with transformations Class PracticePC5-4GraphingThinking  Homework:  p.  431 #’s 11, 13, 16, 35, 39, 45, 48, 65,69.

Day 40:  January 14th/15th.  Objective:  Students will memorize the unit circle. PC5-3 Class Work KEY: PC5-3Key Don’t forget to memorize the unit circle: Unit Circle Background Homework:  p. 418 #’s 39, 45, 53, 55, 57, 77, 78, 80, 81, and 82.

Day 39: January 10th/13th.  Objective:  Students will draw reference triangles and determine which quadrant it is in. Notes: PC5-3Noteskey Class Practice: PC5-3Practice  Homework:  p. 417 #’s 11, 13, 17, 27, 29, 37, 41, 46, and 52.

Day 38: January 8th/9th.  Objective:  Students will find the value of the six trigonometric functions.Notes: PC5-2Notes Class Work:  PC5-2Practice Class Work Examples (#’s 2 and 3): PC5-2ClassWorkExamplesHomework:  p. 402 #’s 13, 15, 17, 21, 23, 25, 31, 35, 57, and 77.

Day 37: January 6th/7th.   Objective:  Students will convert between degrees and radians.Notes:  PC5-1Notes1  PC5-1Notes2 Don’t forget to read section 5.1 in your book!  It has lots of explanation on how to do the homework.  Homework:  p. 385 #’s 11, 14, 20, 22, 23, 25, 29, 30, 42, 43, 60, 65, 66, 71, 73, 79, 81, 95, and 96.

First Semester Final Exam

The final exam is broken up into two parts, given over two class periods.  I will provide two different reviews as well as give details as to what to expect on each part of the test in class.

Part 1:  December 13th (A-Days)  December 16th (B-Days)

Part 2:  December 17th (A-Days)  December 18th (B-Days)

Review #1:  math_111_final_exam_review (we will use selected problems from here)
Review #1 Key:  math_111_final_exam_review_solutions
Review #2:  PC1stSemFinalReview
Review #2 Key:  PC1stSemFinalReviewKEY

Day 36:  December 17th/18th.  Objective:  Students will prove their knowledge by completing part 2 of the semester final exam.  Homework:  Ensure all tests and corrections have been made before break.

Day 35:  December 13th/16th.  Objective:  Students will prove their knowledge by completing part 1 of the semester final exam.  Homework:  Study for the final exam.

Day 34:  December 11th/12th.  Objective:  Students will review for the final exam.  Homework:  Study both reviews to prepare for the final exam.

Day 33:  December 9th/10th.  Objective:  Students will make revisions/corrections to their chapter test.  Homework:  Study for the upcoming final.  Use the links above to access them.

Chapter 4:  Exponential and Logarithmic Functions

Group Test:  November 22nd (A-Day’s) December 2nd (B-Day’s)

Individual Test:  December 5th (A-Day’s) and December 6th(B-Day’s)

Day 32:  December 5th/6th.  Objective:  Students will prove their knowledge by completing an individual test.  Homework:  Prepare for the 15 minute test corrections/revisions allotted for next class.

Day 31:  December 3rd/4th.  Objective:  Students will review for a unit test. Group Test/Quiz Key:  PC4-GroupQuizKEY  Review: PC4-Review Review Key:  PC4-ReviewKEY  Homework:  Study for the individual test next class.

Day 30:  November 22nd/December 2nd.  Objective:  Students will complete a group quiz.  Homework:  PC4-Review

Day 29:  November 20th/21st:  Objective:  Students will complete application problems involving logistic growth models.  Homework:  PC4-7PracticeProblems

Day 28:  November 18th/19th.  Objective:  Students will complete application problems involving uninhibited growth and decay. Notes: PC4-6bNotesKEY Video on those half-life problems :  Exponential Decay Homework:  PC4-6PracticeProblems

Day 27:  November 14th/15th.  Objective:  Students will solve exponential and logarithmic equations.Class Notes:  PC4-5ClassNotes  Homework:  PC4-5Homework

Day 26:  November 12th/13th.  Objective:  Students will solve applied problems using exponential and logarithmic equations and properties. Notes: PC4-4Notes1Key  and PC4-4Notes2Key Homework:  PC4-4InterestPracticeProblems.

Day 25:  November 7th/8th  Objective:  Students will find the inverse of a function.  Notes part 1: PC4-3NotesKey Notes part 2: PC4-3NotesPart2(blank version) and PC4-3NotesandPracticeKEY  Homework:  page 279 #11.  page 292 #’s 41, 65, 67, and 69.  Note – problem 41 requires you to read the instructions on page 291.  Use your notes from class to help complete that problem.

Day 24: November 5th/6th  Objective:  Students will perform operations on functions including compositions of functions. Definition of e: PC4-0NotesKEYNotes:  PC4-2NotesKEY  Homework:  PC4-2Practice

Quarter 1 Survey: Quarter 1 Survey Link

Chapter 3:  Polynomial and Rational Functions

Test Date(s):  October 31st (A-Day) and November 4th (B-Day)

Day 23:  October 31st/November 4th.  Objective: Students will prove their knowledge by completing an individual test.  Homework: PC4-0Homework

Day 22:  October 29th/30th.  Objective:  Students will collaborate on a group test.  Homework:  Study for the individual test next class.

Day 21:  October 25th/28th.  Objective:  Students will review unit material to prepare for a group test. Review:  PC3-Review  Review Key: PC3-ReviewKEY  Homework:  Complete the Review to prepare for a group test next class.

Day 20:  October 23rd/24th.  Objective:  Students will write the equation of a rational function given the graph.Class Practice:  PC3-7Practice  Homework:  PC3-7HomeworkSet

Day 19:  October 21st/22nd.  Objective:  Students will find the equations of horizontal and oblique asymptotes given a rational equation. Check my YouTube channel for videos on Rational Functions for extra help.  Notes:  PC3-6NotesKey  Homework: PC3-6Practice

Day 18:  October 17th/18th.  Objective:  Students will find intercepts and vertical asymptotes of a rational function. Notes:  PC2-5NotesKey(part1) and PC2-5NotesKeyBack(part1)  Homework:  Complete the following worksheets:  PC3-5Investigation and PC3-5Practice.

Day 17:   October 14th/15th.  Objective:  Students will use Descartes Rule of Signs and the Rational Zeros Theorem to solve cubic equations. Notes Key: PC3-4NotesKEY Helpful Videos: Descartes Rule of Signs and Rational Roots Theorem Homework:  page 224 #’s 21, 23, 25, 33, 35, and 37.  Page 231 #’s 23 and #25.

Day 16:  October 9th/10th.  Objective:  Students will write the equation of a polynomial in standard form given factors, roots, and points on the graph.Class Practice: We finished the problems from last class – PC3-2GroupChallenge.  Practice problems solutions: PC3-2GroupChallengeKEY(3) and PC3-2GroupChallengeKEY(4) Class Notes: PC3-3NotesKEY  Homework:  On page 214, the Factor theorem is written.  In your notebook, copy down the factor theorem and put a box around it.  At the bottom of page 214 there is an example on using the factor theorem – use that to remind yourself of what to do.  On page 223-224, complete problems 11, 12, and 20.  On page 231, complete problems 7, 9, 11, 17, and 19.  Make sure you are showing work on these problems 🙂

Day 15:  October 7th/8th.  Objective:  Students will determine roots of a polynomial given a factor. Class work:  PC3-2GroupChallenge Group Challenge Keys:  PC3-2GroupChallengeKEY(1)  and PC3-2GroupChallengeKEY(2) Homework: Complete this document:  PC3-1Practice (If you were in class last week, you were handed a paper copy of it).

Day 14: October 3rd/4th.  Objective:  Students will identify polynomials and properties of polynomials.  Homework:  First identify where section 3.1 is in your notebook.  Section 3.1 has notes on the practice problems.  Here is the official assignment:  On page(s) 208-209 complete problem #’s 15, 17, 19, 41, 43, 49, and 65.

Chapter 1: Functions and Their Graphs (part 2)

Test Date(s): October 1st (A-Day) and October 2nd (B-Day)

Day 13:  October 1st/2nd.  Objective:  Students will complete a unit test on functions and their graphs.  Homework:  PC3-0

Day 12:  September 27th/30th.  Objective:  Students will review unit objectives and complete a review document to study for an individual test next class. Review:  PC1(part2) Review Review Key: PC1(part2) ReviewKEY Homework:  Study for the the test! Review the review document, daily quizzes, homework problems, class work problems, and don’t forget to ask questions if you have them.  My Channel for Precalculus is available to you if you need a refresh on a concept!  

Day 11:  September 25th/26th.  Objective:  Students will find the average rate of change between two numbers given a function. Class Notes: PC1-9DiffQNotesKey Presentation:  Presentation – Start on slide 33.   Homework:  page 55, #’s 77 and 78.  Page 76 #’s 67, 68, and 69.

Day 10:  September 23rd/24th.  Objective:  Students will perform transformations on functions and write coordinate rules for the transformation.Class Practice:  PC1-7ClassPractice  Coordinate Rules Notes: PC1-8NotesKey Homework:  page 54 #’s 39 and 40 – only complete part (h) in those problems.  Page 98 and 100, complete #’s 32,37 and 95.

Day 9:  September 19th/20th.  Objective:  Students will perform transformations on functions. Class Notes:  PC1-7NotesKEYClass Practice:  PC1-7Investigation Homework:  On page 86 complete #33, and # 41.  On page 100 complete #94.

Chapter 1:  Functions and Their Graphs (part 1)

Test Date(s):

A-Day Students: 9/17

B-Day Students:  9/18

Day 8:  September 17th/18th.  Objective:  Students will prove their knowledge by completing a mid-chapter test.  Class Activity:  Take the test.  Homework stamps were counted today (there were 6 possible stamps) Homework:  Complete the PC1-6Practice document.

Day 7: September 13th/16th.    Review for test:  PC1-Review(1)Review Key:  PC1-Review(1)KEY As a reminder and a general rule for this class, simply completing the review is not sufficient to ensure 100% comprehension of concepts.  All daily quizzes, homework, class work, and notes should all be reviewed in order to be fully prepared for a test.  Homework:  Study for the test next class! Side-Note:  There are extra practice problems at the end of chapter 1.  You can look there for supplemental work if you’d like more practice.

Day 6: September 11th/12th.  Objective:  Students will determine the intervals on which a graph is concave up or concave down.  Students will identify local and absolute maxima and minima on a graph. Class Practice:  PC1-5InvestigationNotes Class Practice KEY: PC1-5InvestigationNotesKEY Notes:  PC1-5FormalNotes Homework: PC1-5HomeworkSet

Day 5:  September 9th/10th.  Objective:  Students will determine whether a function is even, odd, or neither both algebraically and graphically. Suggested Book Reading:  pages 66 and 67 Class Notes:  PC1-4NotesKey Homework:  pg. 61 # 9 AND pg. 75 #’s 33, 35, 38, 41, and 42.

Day 4:  September 5th/6th:  Objective:  Students will use a graph to determine where a function is increasing, decreasing, or constant. Recommended Book Reading:  Examine page 68 of your textbook for details and definitions on increasing/decreasing intervals. Class Notes:  PC1-3Notes  Homework:  p. 74 #’s 21-25.

Day 3: September 3rd/4th:  Objective:  Students will find the domain of a function algebraically. Notes: PC1-2Notes Class Practice: PC1-2Assignment KEY: PCSection1.2KEY Homework:  Re-read pages 49-50.  On Page 54:  Complete #’s 40, 52, 53, 55, and 59. Remind:  I’d like to use the Remind App this year.  Here is a link to sign up:  PreCalculus Remind

Day 2: August 29th/30th.  Objective:  Students will review Algebra 3-4 material in groups moving around the classroom. Class Problem Set Solutions:  PC1-1StationsSolutions Homework: Read section 1.1 (pg. 43-53) to review.  On page 53 and 54, complete problems 1,3,5,6,10, 15-20, and 39. Remind:  I’d like to use the Remind App this year.  Here is a link to sign up:  PreCalculus Remind

Day 1: August 28.  Objective:  Students will familiarize themselves with class rules and routines as they analyze the learning objectives for the school year. Class Power Point:  First Day Intro  Course Syllabus: PCSyllabus19-20 Homework:  Visit this website (if you are reading this, congratulations).  Watch the first three videos on My Channel for Precalculus .  Begin obtaining necessary course materials and see me if you need help.